What is the Least Common Multiple of 62335 and 62339?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62335 and 62339 is 3885901565.
LCM(62335,62339) = 3885901565
Least Common Multiple of 62335 and 62339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62335 and 62339, than apply into the LCM equation.
GCF(62335,62339) = 1
LCM(62335,62339) = ( 62335 × 62339) / 1
LCM(62335,62339) = 3885901565 / 1
LCM(62335,62339) = 3885901565
Least Common Multiple (LCM) of 62335 and 62339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62335 and 62339. First we will calculate the prime factors of 62335 and 62339.
Prime Factorization of 62335
Prime factors of 62335 are 5, 7, 13, 137. Prime factorization of 62335 in exponential form is:
62335 = 51 × 71 × 131 × 1371
Prime Factorization of 62339
Prime factors of 62339 are 17, 19, 193. Prime factorization of 62339 in exponential form is:
62339 = 171 × 191 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 62335 and 62339.
LCM(62335,62339) = 51 × 71 × 131 × 1371 × 171 × 191 × 1931
LCM(62335,62339) = 3885901565
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